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Finding the Fourth Proportional to 2,699.66, 3,725.46 and 1,504.65

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Solution

The fourth proportional to 2,699.66, 3,725.46 and 1,504.65 is: 2,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.66 : 3,725.46 = 1,504.65 : x
  2. Step 2: Convert to fraction form
    2,699.66/3,725.46 = 1,504.65/x
  3. Step 3: Cross multiply
    2,699.66x = 3,725.46 × 1,504.65
  4. Step 4: Simplify right side
    2,699.66x = 5,605,527.36
  5. Step 5: Solve for x
    x = 5,605,527.36/2,699.66
  6. Step 6: Final answer
    x = 2,076.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.